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Finding the Fourth Proportional to 913.72, 1,377.27 and 831.70

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Solution

The fourth proportional to 913.72, 1,377.27 and 831.70 is: 1,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.72 : 1,377.27 = 831.70 : x
  2. Step 2: Convert to fraction form
    913.72/1,377.27 = 831.70/x
  3. Step 3: Cross multiply
    913.72x = 1,377.27 × 831.70
  4. Step 4: Simplify right side
    913.72x = 1,145,475.46
  5. Step 5: Solve for x
    x = 1,145,475.46/913.72
  6. Step 6: Final answer
    x = 1,253.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.